Question

Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?

10x + 2y = 14

-15x - 3y = -6

5x + y = -7

6x + 2y = 7

Answer 1

A consistent and independent system means that, upon graphing, the functions only touch each other once. So, solve for y for all of the answer choices (sorry), then see if they only touch once. :)

Answer 2

Did you put it in Slope intercept form? one or more solutions is a consistent system. A system of equations that has no solution is called an inconsistent system.

Answer 3

They touch ONLY once makes a consistent and dependent; its ONLY consistent if they cross MORE than one.

Answer 4

A consistent system of equations is a system with __________.

the same line

parallel lines

intersecting lines and lines that have the same slope

intersecting lines and lines that have the same equation

Answer 5

i think d

Answer 6

Um I'd say D

Answer 7

How is that possible, though?

Answer 8

The same equation will give you infinite solutions and at least one solution. Oh wait Slope

Answer 9

or at least one solution*

Answer 10

That makes it dependent, then.

Answer 11

If they're the same line, which, having the same equation, is essentially doing, is it not? If I'm wrong, please clarify; the question is confusing me.

Answer 12

The first one is d, btw. I'm pretty sure you got that, though.